From a08c1f9223a58abd4333231a870174dea3022602 Mon Sep 17 00:00:00 2001
From: Erik R Eaton <erik.eaton@uconn.edu>
Date: Tue, 28 Mar 2017 16:56:40 -0400
Subject: [PATCH] fill in table

---
 README.md | 9 ++++++---
 1 file changed, 6 insertions(+), 3 deletions(-)

diff --git a/README.md b/README.md
index 4994cf8..f29950d 100644
--- a/README.md
+++ b/README.md
@@ -2,6 +2,9 @@
 
 | # of segments | largest | smallest | # of eigenvalues |
 | --- | --- | --- | --- |
-| 5 | ... | ... | ... |
-| 6 | ... | ... | ... |
-| 10 | ... | ... | ... |
+| 5 | 3.6180 | 0.3820 | 4 |
+| 6 | 3.7321 | 0.2679 | 5 |
+| 10 | 3.9021 | 0.0979 | 9 |
+| 10000 | 4 | 9.8696e-8 | 999 |
+
+If the segment length (dx) approaches 0, this implies that the number of segments continues to grow to infinity. Therefore, there will also be an infinite number of eigenvalues. This conclusion is supported by the pattern in behavior illustrated in the table above.